Kuliah Umum 演講訊息

摘要： In this talk, we will present some of our recent results on the study stochastic ecology and population models. Treating predator-prey systems, our effort focuses on asymptotic properties. We obtain sufficient and almost necessary conditions for permanence and ergodicity of the stochastic predator-prey models with Beddington-DeAngelis functional response. Both non-degenerate and degenerate diffusions are considered. We will also consider ecology models of two species described by Kolmogorov systems of competitive type with a randomly switching component. Here we aim to establish the existence of an invariant probability measure.